The surface area, \(A\), of the pond shown in Fig. P3. 108 varies with the water depth, \(h\), as shown in the table. At time \(t=0\) a valve is opened and the pond is allowed to drain through a pipe of diameter \(D\). If viscous effects are negligible and quasisteady conditions are assumed, plot the water depth as a function of time from when the valve is opened \((t=0)\) until the pond is drained for pipe diameters of \(D=0.5,1.0,1.5,2.0,2.5\), and \(3.0 \mathrm{ft}\). Assume \(h=18 \mathrm{ft}\) at \(t=0\).

Figure P3.108

Transcribed Image Text:

Area A h 3 ft D T